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3 years ago

7

A town has a population of 11000 and grows at 4% every year. What will be the population after 15 years, to the nearest whole nu

mber?

2 answers:

hram777 [196]3 years ago

7 0

1.) 11,000(0.04 or 4 percent)= 440
2.) 440(15 years)= 6,600
3.) The population will be about 6,600 after 15 years.

tigry1 [53]3 years ago

3 0

Answer:

19810

Step-by-step explanation:

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A 51-foot wire running from the top of a tent pole to the ground makes an angle of 58° with the ground. If the length of the ten

AfilCa [17]

Answer:

<em>35.11 ft</em>

<em></em>

Step-by-step explanation:

This given situation can be thought of as triangle $\triangle PQR$ where PQ is the length of pole.

PR is the length of rope.

and QR is the distance of bottom of pole to the point of fastening of rope to the ground.

And $\angle Q \neq 90^\circ$

Given that:

PQ = 44 ft

PR = 51 ft

$\angle R = 58^\circ$

To find:

Side QR = ?

Solution:

We can apply Sine Rule here to find the unknown side.

Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\dfrac{PR}{sinQ}=\dfrac{PQ}{sinR}\\\Rightarrow sin Q =\dfrac{PR}{PQ}\times sinR\\\Rightarrow sin Q =\dfrac{51}{44}\times sin58^\circ\\\Rightarrow \angle Q =79.41^\circ$

Now,

$\angle P +\angle Q +\angle R =180^\circ\\\Rightarrow \angle P +58^\circ+79.41^\circ=180^\circ\\\Rightarrow \angle P = 42.59^\circ$

Let us use the Sine rule again:

$\dfrac{QR}{sinP}=\dfrac{PQ}{sinR}\\\Rightarrow QR =\dfrac{sinP}{sinR}\times PQ\\\Rightarrow QR =\dfrac{sin42.59}{sin58}\times 44\\\Rightarrow QR = 35.11\ ft$

So, the answer is <em>35.11 ft</em>.

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3 years ago

Parallelogram ABCD is shown.<br>

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Answer:

Step-by-step explanation:

#4 part A= D

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We have that
<span>We will analyze each case to verify the answer
see the attached figure

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3 years ago

The sum of two numbers is 39. Their difference is 21. What are the two numbers?

mrs_skeptik [129]

Answer:

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Step-by-step explanation:

x+y=39 , x-y=21

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Step-by-step explanation:

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